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Finding the Fourth Proportional to 4,986.95, 7,478.14 and 1,698.71

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Solution

The fourth proportional to 4,986.95, 7,478.14 and 1,698.71 is: 2,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.95 : 7,478.14 = 1,698.71 : x
  2. Step 2: Convert to fraction form
    4,986.95/7,478.14 = 1,698.71/x
  3. Step 3: Cross multiply
    4,986.95x = 7,478.14 × 1,698.71
  4. Step 4: Simplify right side
    4,986.95x = 12,703,145.32
  5. Step 5: Solve for x
    x = 12,703,145.32/4,986.95
  6. Step 6: Final answer
    x = 2,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.